Distributional solutions of anisotropic nonlinear elliptic systems with variable exponents: existence and regularity

DOI10.1007/s43036-022-00183-4zbMath1485.35186OpenAlexW4206625931MaRDI QIDQ2669473

Naceri Mokhtar, Mohamed Badr Benboubker

Publication date: 9 March 2022

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-022-00183-4

zbMATH Keywords

regularityexistencenonlinear elliptic systems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for second-order elliptic systems (35J57)

Related Items (1)

Anisotropic nonlinear weighted elliptic equations with variable exponents

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of solutions for a class of obstacle problems with \(L^1\)-data and without sign condition
• Existence of solutions in the sense of distributions of anisotropic nonlinear elliptic equations with variable exponent
• Lebesgue and Sobolev spaces with variable exponents
• On stationary thermo-rheological viscous flows
• Nonlinear elliptic systems with measure-valued right hand side
• Electrorheological fluids: modeling and mathematical theory
• Regularity of the solution to nonlinear anisotropic elliptic equations with variable exponents and irregular data
• Nonlinear anisotropic elliptic and parabolic equations with variable exponents and \(L^1\) data
• Renormalized solutions for \(p(x)\)-Laplacian equation with Neumann nonhomogeneous boundary condition
• Variable Lebesgue spaces and hyperbolic systems. Based on the presentations at two courses given under the title `Advanced courses on approximation theory and Fourier analysis', Barcelona, Spain, November 7--11, 2011
• Teoremi di inclusione per spazi di Sobolev non isotropi
• Nonlinear anisotropic elliptic equations in RN with variable exponents and locally integrable data
• Anisotropic variable exponent Sobolev spaces and -Laplacian equations
• Entropy solutions for the $p(x)$-Laplace equation
• Testfunctions for elliptic systems and maximum principles
• Anisotropic nonlinear elliptic systems with variable exponents and degenerate coercivity
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
• Nonlinear elliptic systems with variable exponents and measure data

This page was built for publication: Distributional solutions of anisotropic nonlinear elliptic systems with variable exponents: existence and regularity